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Answer for the clue "(matrix algebra) changing a square matrix to diagonal form (with all non-zero elements on the principal diagonal) ", 15 letters:
diagonalization

Word definitions for diagonalization in dictionaries

Wiktionary Word definitions in Wiktionary
n. (alternative spelling of diagonalisation from=US English)

WordNet Word definitions in WordNet
n. changing a square matrix to diagonal form (with all non-zero elements on the principal diagonal); "the diagonalization of a normal matrix by a unitary transformation" [syn: diagonalisation ]

Wikipedia Word definitions in Wikipedia
In mathematics, diagonalization may refer to: Matrix diagonalization , a construction of a diagonal matrix (with nonzero entries only on the main diagonal) that is similar to a given matrix Diagonal lemma , used to create self-referential sentences in formal ...